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Finding the Fourth Proportional to 9,855.78, 13,600.05 and 5,876.10

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Solution

The fourth proportional to 9,855.78, 13,600.05 and 5,876.10 is: 8,108.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.78 : 13,600.05 = 5,876.10 : x
  2. Step 2: Convert to fraction form
    9,855.78/13,600.05 = 5,876.10/x
  3. Step 3: Cross multiply
    9,855.78x = 13,600.05 × 5,876.10
  4. Step 4: Simplify right side
    9,855.78x = 79,915,253.81
  5. Step 5: Solve for x
    x = 79,915,253.81/9,855.78
  6. Step 6: Final answer
    x = 8,108.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.